Pith Number

pith:RZQOIASV

pith:2009:RZQOIASVAEDO7Q3TMIGAWWCCLA

not attested not anchored not stored refs pending

Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis

Jonathan Bennett, Neal Bez

arxiv:0906.2064 v3 · 2009-06-11 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZQOIASVAEDO7Q3TMIGAWWCCLA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:41:14.242994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e60e402550106efc373620c0b5842582b4650ccc510300374da88dd3216539a

Aliases

arxiv: 0906.2064 · arxiv_version: 0906.2064v3 · doi: 10.48550/arxiv.0906.2064 · pith_short_12: RZQOIASVAEDO · pith_short_16: RZQOIASVAEDO7Q3T · pith_short_8: RZQOIASV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RZQOIASVAEDO7Q3TMIGAWWCCLA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8e60e402550106efc373620c0b5842582b4650ccc510300374da88dd3216539a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d6ee3cbe4b7a55b43a0734452477295f3d1f88c7b18b201a808f3013c5d1f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-06-11T09:44:26Z",
    "title_canon_sha256": "efd1d8084cc88f49e21be0d67e7b77e56fc20ec00a4429c53a6197db40252006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2064",
    "kind": "arxiv",
    "version": 3
  }
}